The generator matrix

 1  0  1  1  1 12  2  2  1
 0  1  1 12 11  1  4  0  0
 0  0  2  6  4  6  2  0  0
 0  0  0  8  0  0  0  8  0
 0  0  0  0  8  0  0  8  0
 0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  8  0

generates a code of length 9 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+93x^4+160x^5+767x^6+2112x^7+6307x^8+13888x^9+6307x^10+2112x^11+767x^12+160x^13+93x^14+1x^18

The gray image is a code over GF(2) with n=72, k=15 and d=16.
This code was found by Heurico 1.16 in 0.174 seconds.